Answer
The graph of the equation is a hyperbola with center at (0,0) and the x-intercepts $(1,0)$ and $(-1,0)$.
Work Step by Step
The graph of an equation of the form $$\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} =1$$ is a hyperbola with center at point $(0,0)$ and x-intercepts $(a,0)$ and $(-a,0)$.
Hence, the equation $$x^2-y^2=1$$ can be rewritten to:
$$\frac{x^2}{1}-\frac{y^2}{1}=1$$
which satisfies the form of the equation for a hyperbola with center at $(0,0)$ and the x-intercepts $(1,0)$ and $(-1,0)$.
